Back to 6.2 Problems on Random Variables and Probabilities

6.2 Exercise 15

Avg difficulty 2.5

Henry goes to a hardware store. He considers a power drill at $35, a socket wrench set at $56, a set of screwdrivers at $18, a vise at $24, and hammer at $8. He decides independently on the purchases of the individual items, with respective probabilities 0.5, 0.6, 0.7, 0.4, 0.9. Let X be the amount of his total purchases. Determine the distribution for X.

Pfeiffer, Applied Probability, 6.2 Problems on Random Variables and Probabilities, exercise 15

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.